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Paul Romatschke- University of Colorado

**Title**: phi^4 Theory in the Large N Wonderland

**Abstract**: In this seminar, I introduce large N techniques to solve

hard problems in quantum mechanics, such as calculating the ground

state energy of the quartic oscillator. Steepest descent and Lefshetz

Picard Theory will be touched upon. The large N method generalizes to

field theory, and I will review quantum triviality of phi^4 theory in

4 dimensions in the continuum, and how it is avoided in the large N